Happily announce that my new ODEs textbook has been released!
Hello again, I am writing to share the news that after one year of hard work, my new mathematical textbook, Introduction to Ordinary Differential Equations with Scientific Applications , has been finished and published. I am very excited about this, as it is my third title and I think the quality is a significant improvement over the previous ones, and this time I chose to release it on Amazon in both Kindle e-book and physical formats. You can find the links for purchasing, as well as reading the sample chapters on my GitHub repo. Will be very glad if you guys like it and find it useful! List of Topics: First-order ODEs (Separable, Linear, Exact, Homogeneous/Isobaric, Bernoulli, Riccati) Second-order ODEs (Constant-coefficient Homogeneous, Method of Undetermined Coefficients/Variation of Parameters, Euler, Canonical) Series/Frobenius Solution (Airy, Hypergeometric) Laplace Transform Sturm-Liouville Theory (Fourier Series) Special Functions (Legendre, Chebyshev, Hermite, Laguerre, Bessel) Intro. to PDEs (Heat, Laplace, Wave) and some extra topics like matrix ODEs and numerical methods with a total of 157 Exercises plus Short Solution keys. Editorial Reviews "This book provides a comprehensive (an ambitious) treatment of the subject... What I particularly appreciate is that these topics are accompanied by numerous carefully worked examples, many drawn from physics, atmospheric science, and Earth science applications. The result is a volume that is not only a textbook but also an excellent reference handbook for students, educators and researchers..." Francis Tam The Chinese University of Hong Kong "This book will be helpful to students starting to learn differential equations, but will also be a useful reference work for researchers at a higher level. The book is well written, in clearly structured sections, with helpful diagrams. The text includes plenty of examples that are explained in detail, and there are exercises at the end of each chapter. I particularly like the way that the author achieves a good balance between the mathematical theory of differential equations and practical applications in physics, chemistry and biology." Paul C Matthews (retired) University of Nottingham Link to the GitHub repository (Sample chapters): BenjaminGor/Intro_to_ODE_sol_err: Github repo for the book Introduction to Ordinary Differential Equations with Scientific Applications by C. L. Loi Link to Amazon (Purchase): Introduction to Ordinary Differential Equations with Scientific Applications: Loi, C. L.: 9784991508011: Amazon.com: Books